NIMS Colloquium
Spectral theory of Neumann-Poincare Operator and applications
연사 : 강현배 교수(인하대학교)
일시 : 2015년 5월 22일(금) 16:30
장소 : 국가수리과학연구소 3층 세미나실
Abstract
The Neumann-Poincare (NP) operator is a boundary integral operator which arises naturally when solving boundary value problems using layer potentials. It is not self-adjoint with the usual inner product. But it can symmetrized by introducing a new inner product on H−1/2 spaces using Plemelj's symmetrizationprinciple. Recently many nteresting spectral properties of the NP operator have been discovered. I will discuss about this development and various applications including solvability of PDEs with complex coefficients and plasmonicresonance.
NIMS Colloquium
Spectral theory of Neumann-Poincare Operator and applications
연사 : 강현배 교수(인하대학교)
일시 : 2015년 5월 22일(금) 16:30
장소 : 국가수리과학연구소 3층 세미나실
Abstract
The Neumann-Poincare (NP) operator is a boundary integral operator which arises naturally when solving boundary value problems using layer potentials. It is not self-adjoint with the usual inner product. But it can symmetrized by introducing a new inner product on H−1/2 spaces using Plemelj's symmetrizationprinciple. Recently many nteresting spectral properties of the NP operator have been discovered. I will discuss about this development and various applications including solvability of PDEs with complex coefficients and plasmonicresonance.